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Finding the Fourth Proportional to 123,410.88, 185,123.23 and 34,657.45

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Solution

The fourth proportional to 123,410.88, 185,123.23 and 34,657.45 is: 51,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,410.88 : 185,123.23 = 34,657.45 : x
  2. Step 2: Convert to fraction form
    123,410.88/185,123.23 = 34,657.45/x
  3. Step 3: Cross multiply
    123,410.88x = 185,123.23 × 34,657.45
  4. Step 4: Simplify right side
    123,410.88x = 6,415,898,538.11
  5. Step 5: Solve for x
    x = 6,415,898,538.11/123,410.88
  6. Step 6: Final answer
    x = 51,988.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.